Physics Conservation of Matter Question

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Homework Help Overview

The problem involves calculating the distance from a lab bench where a ball bounces after being dropped on a ramp. The setup includes a height "H" of the bench and a height "h" of the ramp. The original poster has provided some equations related to energy conservation but is uncertain about how to proceed without additional information such as the mass of the ball or the angle of the ramp.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between gravitational potential energy and kinetic energy, questioning the necessity of the mass of the ball in calculations. There is also mention of breaking the motion into components to analyze the problem further.

Discussion Status

The discussion has seen some productive exchanges, with participants offering insights that have helped the original poster clarify their understanding. However, there is no explicit consensus on a complete method to solve the problem, and the original poster has indicated they have made progress with the help of others.

Contextual Notes

There are constraints noted, such as the lack of mass, acceleration, or ramp angle, which are affecting the ability to fully resolve the problem.

TigerLilly
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Homework Statement



Here is the set-up:
-there is a lab bench that is a certain height above the floor, "H"
-on the bench is a ramp that is a certain height above the bench top, "h"
-a ball is dropped on the ramp and then is "launched" in the air and eventually falls to bounch on the ground. How can I calculate the distance from the bench where the ball bounces first?

I have "h" and "H".



Homework Equations



To calculate the speed of the ball I did:

Eg=Ek
mgh=(1/2)mv^2


I'm unsure how to proceed from here to find the distance. I don't have the mass of the ball, the acceleration or any angle for the ramp.

Other possible equations I could use are:
W = ∆ K Ek
W = F d cos θ


The Attempt at a Solution



I know I have to take into account that there are 2 forces acting on the ball. The first is the horizontal force propelling the ball forward and the force of gravity pulling on the ball.

I was thinking of finding Ek and Eg again and add them together for Et to use in the work formula. But I don't have the mass of the ball.

I'm just unsure what to do from here.
 
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From what I understand, you don't need the m of the ball because:

mgh=1/2mv^2

therefore gh=1/2v^2
 
I think you have to break it up into components (x and y)

Sorry if this doesn't help
 
No it did actually. I was working on it with a friend and it helped a lot. I figured it out now. Thanks so much!
 

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